• Differential equations with natural matrices coefficients 

      Acosta-Humánez, P.; Ramírez-López, J. (IOP Publishing, 2020)
      In this paper we present the main results of the master thesis in applied mathematics of the second named author, which was supervised by the first named author. Such results, and for instance this paper, concerns to ...
    • Nonintegrability of the Armbruster-Guckenheimer-Kim Quartic Hamiltonian Through Morales-Ramis Theory 

      Acosta-Humánez, P.; Alvarez-Ramírez, M.; Stuchi, T.J. (Sociedad de Matemática Industrial y Aplicada, 2018-01-09)
      We show the nonintegrability of the three-parameter Armburster--Guckenheimer--Kim quartic Hamiltonian using Morales--Ramis theory, with the exception of the three already known integrable cases. We use Poincaré sections ...